First-order transitions for n-vector models in two and more dimensions; rigorous proof
classification
❄️ cond-mat.stat-mech
cond-mat.dis-nnmath-phmath.MPmath.PR
keywords
first-ordermodelsn-vectordeepdimensiondimensionsenoughholds
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We prove that various SO(n)-invariant n-vector models with interactions which have a deep and narrow enough minimum have a first-order transition in the temperature. The result holds in dimension two or more, and is independent on the nature of the low-temperature phase.
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